Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1).

A191317

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =8a(6) =14a(7) =23a(8) =40a(9) =67a(10) =117a(11) =198a(12) =346a(13) =590a(14) =1032a(15) =1769a(16) =3096a(17) =5328a(18) =9329a(19) =16103a(20) =28205a(21) =48801a(22) =85500a(23) =148216a(24) =259733a(25) =450952a(26) =790387a(27) =1374044a(28) =2408653a(29) =4191814

External references